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Theorem dfom3 4696
Description: Alias for df-iom 4695. Use it instead of df-iom 4695 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)
Assertion
Ref Expression
dfom3  |-  om  =  |^| { x  |  (
(/)  e.  x  /\  A. y  e.  x  suc  y  e.  x ) }
Distinct variable group:    x, y

Proof of Theorem dfom3
StepHypRef Expression
1 df-iom 4695 1  |-  om  =  |^| { x  |  (
(/)  e.  x  /\  A. y  e.  x  suc  y  e.  x ) }
Colors of variables: wff set class
Syntax hints:    /\ wa 104    = wceq 1398    e. wcel 2202   {cab 2217   A.wral 2511   (/)c0 3496   |^|cint 3933   suc csuc 4468   omcom 4694
This theorem depends on definitions:  df-iom 4695
This theorem is referenced by:  omex  4697  peano1  4698  peano2  4699  peano5  4702  bj-dfom  16649
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